\begin{tabular}{l}
\text{\LARGE{Gamma distribution}}\\
\\\hline\\
\text{The gamma distribution is a two-parameter family of continuous probability}\\
\text{distributions. There are three different parametrizations in common use.}\\
\text{In this application the parametrization with a shape parameter and a rate}\\
\text{(inverse scale) parameter is used.}
\\\\\hline\\
\text{\Large{Input parameters}}\\
    \begin{array}{ll}\\
    \\\alpha & \text{shape parameter}\\
    \\\beta & \text{rate (inverse scale) parameter}\\
    \end{array}
\\\\\hline\\
\text{\Large{Output parameters}}\\
    \begin{array}{ll}\\
    \\\text{Expected value} & \mathbf{\frac{\alpha}{\beta}}\\
    \\\text{Standard deviation} & \mathbf{\frac{\sqrt{\alpha}}{\beta}}\\
    \\\text{Variance} & \mathbf{\frac{\alpha}{\beta^2}}\\
    \end{array}
\\\\\hline\\
\text{\Large{Additional information}}\\
    \begin{array}{ll}\\
    \\\text{Probability density function} & 
      \mathbf{\frac{\beta^\alpha}{\Gamma\left(\alpha\right)}x^{\alpha-1}e^{-\beta x}}\\
    \\\text{Moment-generating function} & \mathbf{\left(1-\frac{t}{\beta}\right)^{-\alpha}\mbox{ for }t<\beta}\\
    \end{array}
\end{tabular}